All categories

3 years ago

I NEED HELP PLEASE AND SHOW THE WORK PLEASE

Mathematics

1 answer:

Trava [24]3 years ago

8 0

Answer:

6. x = 28 degrees

7. z = 1.6 cm

Step-by-step explanation:

Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:

50 + 69 + (2 x +5) = 180

combine like terms:

119 + 2 x + 5 = 180

124 + 2 x = 180

subtract 124 from both sides:

2 x = 56

divide by 2 both sides:

x = 56 / 2

x = 28 degrees

Problem 7.

If the two triangles are congruent, then the side MN must equal side RS.

Since MN measure 1,8 cm, then RS must also measure 1.8 cm

and we can write the equation:

1.8 = 3 z - 3

adding 3 to both sides:

1.8 + 3 = 3 z

4.8 = 3 z

dividing both sides by 3:

z = 4.8 / 3

z = 1.6 cm

You might be interested in

Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is....

shutvik [7]

Answer:

$The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .$

Step-by-step explanation:

Formula for slope

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

As the Line AB contains points A (8, −4) and B (1, −5).

Put points value in the above

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$m = \frac{- 5- (-4)}{1 - 8}$

$m = \frac{- 5 + 4}{1 - 8}$

$m = \frac{- 1}{-7}$

$m = \frac{1}{7}$

$Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .$

7 0

3 years ago

Read 2 more answers

Cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc what is 2x+9=35

creativ13 [48]

2x + 9 = 35

We subtract 9 in both sides:
2x + 9 - 9 = 35 - 9
2x = 26
We then divide 2 in both sides:
x = 13

7 0

3 years ago

Read 2 more answers

Dan buys a car for £2100.

SVETLANKA909090 [29]

Answer:

£1837.5

Step-by-step explanation:

Given data

Cost of car P= £2100.

Rate r= 2.2%

Time t= 6 years

Now we want to find the worth after 6 years, let us apply the compound interest expression but this time for depreciation

A= P(1-r)^t

Substitute

A= 2100(1-0.022)^6

A= 2100*(0.978)^6

A= 2100*0.875

A= £1837.5

Hence the amount of the car after 6 years is £1837.5

8 0

3 years ago

Solve equation. <br><br> X^2-4x-12 = 0

ser-zykov [4K]

Answer:

Step-by-step explanation:

x2 - 4x - 12 = 0

x2 - 6x + 2x - 12= 0

x(x - 6) + 2(x - 6) = 0

x + 2 = 0

x = - 2

x - 6 = 0

x = 6

5 0

3 years ago

Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:

ZanzabumX [31]

Answer:

Step-by-step explanation:

Given that two fair dice, one blue and one red, are tossed, and the up face on each die is recorded.

a) P(E) = P(the difference of the numbers is 3 or more}

Favourable events are (1,4) (1,5)(1,6) (2,5) (2,6) (3,6) (4,1) (5,1) (5,2) (6,1) (6,2)(6,3)

P(E) = $\frac{12}{36} =\frac{1}{3}$

b)P(F)

Favourable events for F = (1,1) (2,2)...(6,6)

P(F) = $\frac{6}{36} =\frac{1}{6}$

c) P(EF)

There is no common element between E and F

P(EF) =0

4 0

3 years ago

Read 2 more answers